Lesson Plan
EngageNY

Parallel and Perpendicular Lines

For Students 9th - 12th Standards
Use what you know about parallel and perpendicular lines to write equations! Learners take an equation of a line and write an equation of a line that is parallel or perpendicular using slope criteria. They then solve problems to...
Lesson Plan
EngageNY

The Angle Measure of an Arc

For Teachers 9th - 10th Standards
How do you find the measure of an arc? Learners first review relationships between central and inscribed angles. They then investigate the relationship between these angles and their intercepted arcs to extend the Inscribed Angle Theorem...
Lesson Plan
EngageNY

Properties of Tangents

For Teachers 9th - 12th Standards
You know about the tangent function, but what are tangent lines to a circle? Learners investigate properties of tangents through constructions. They determine that tangents are perpendicular to the radius at the point of tangency,...
Lesson Plan
EngageNY

Writing the Equation for a Circle

For Teachers 9th - 12th Standards
Circles aren't functions, so how is it possible to write the equation for a circle? Pupils first develop the equation of a circle through application of the Pythagorean Theorem. The activity then provides an exercise set for learners to...
Lesson Plan
EngageNY

Ptolemy's Theorem

For Teachers 9th - 12th Standards
Everyone's heard of Pythagoras, but who's Ptolemy? Learners test Ptolemy's Theorem using a specific cyclic quadrilateral and a ruler in the 22nd installment of a 23-part module. They then work through a proof of the theorem.
Lesson Plan
EngageNY

Successive Differences in Polynomials

For Students 10th - 12th Standards
Don't give your classes the third degree when working with polynomials! Teach them to recognize the successive differences and identify the degree of the polynomial. The lesson leads learners through a process to develop an understanding...
Lesson Plan
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EngageNY

Putting It All Together

For Students 10th - 12th Standards
Shuffle 'em up and deal! Learners practice operations with polynomials using cards they pass around the room. The activity works with pairs or individuals, so it offers great flexibility. This is the fifth installment in a series of 42...
Lesson Plan
EngageNY

Ferris Wheels—Tracking the Height of a Passenger Car

For Students 10th - 12th Standards
Watch your pupils go round and round as they explore periodic behavior. Learners graph the height of a Ferris wheel over time. They repeat the process with Ferris wheels of different diameters.
Lesson Plan
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Anti-Defamation League

We Were Strangers Too: Learning About Refugees Through Art

For Teachers 6th - 12th Standards
Did you know that "in the largest refugee crisis since World War II, more the 64 million people have been forced from their homes"? The Anti-Defamation League presents an activity that asks class members to examine a series of artworks...
Lesson Plan
Willow Tree

Factoring

For Students 7th - 10th Standards
Build an understanding of factors and use it to write the prime factorization of numbers. After exploring key vocabulary, learners create prime factorization for given numbers. They then use the prime factorizations to determine the...
Lesson Plan
Willow Tree

Fibonacci and Other Sequences

For Students 8th - 11th Standards
Fibonacci is an interesting sequence that forms some unique patterns. Learners explore sequences that do not have the typical arithmetic and geometric patterns. They identify the pattern and find the next consecutive terms....
Lesson Plan
Willow Tree

Angle Sum Property of Triangles

For Students 8th - 11th Standards
All triangles have some things in common. Using these properties of triangles, learners find missing angle measures. Scholars use the Angle Sum Property and properties of special triangles throughout the lesson.
Lesson Plan
Willow Tree

Measurement

For Students 8th - 11th Standards
Build a basic understanding of units of measure and create a great foundation for your learners. The lesson gives a complete overview of everything measurement, from types of measurement to rounding to conversions — it has it all! 
Lesson Plan
Willow Tree

Perimeter of Common Geometric Figures

For Students 8th - 11th Standards
Help learners understand that perimeter and circumference are one in the same. Learners apply their skills to determine the perimeter/circumference of triangles, rectangles, and circles. They then use the same strategy to find the...
Lesson Plan
Willow Tree

Approximating a Line of Best Fit

For Students 9th - 12th Standards
You may be able to see patterns visually, but mathematics quantifies them. Here learners find correlation in scatterplots and write equations to represent that relationship. They fit a line to the data, find two points on the line, and...
Lesson Plan
Willow Tree

Line Plots

For Students 9th - 12th Standards
You can't see patterns in a jumble of numbers ... so organize them! Learners take a set of data and use a line plot to organize the numbers. From the line plot, they find minimum, maximum, mean, and make other conclusions about the...
Assessment
Mathematics Assessment Project

Skeleton Tower

For Students 9th - 12th Standards
Who doesn't like building blocks? In the task, pupils use a given diagram of a tower to determine the number of needed blocks. Using this information, pupils then develop a function rule relating the height of the tower to the number of...
Assessment
Mathematics Assessment Project

Table Tiling

For Students 9th - 11th Standards
How many total tiles does it take to tile a table top? Learners apply geometric concepts to determine the number of tiles needed for a specific square table top, and then use the result to create expressions for the number of tiles...
Assessment
Mathematics Assessment Project

Bestsize Cans

For Students 9th - 11th Standards
Traditional calculus problem made simple. In the high school assessment task, learners determine the minimum surface area for a can of a given volume using algebraic and numerical methods to solve the problem. No calculus...
Assessment
Mathematics Assessment Project

Patchwork

For Students 9th - 11th Standards
Sew up learning on writing rules for patterns with an assessment task that has pupils investigate the number of triangles needed for cushions of different sizes. They then use the data to generate a rule for a cushion of any size.
Assessment
Mathematics Assessment Project

Circles in Triangles

For Students 9th - 12th Standards
Circles, and triangles, and tangents, oh my! In the assessment task, learners first answer questions leading to the radius of an inscribed circle for a given right triangle. They then use the result to independently determine the...
Assessment
Mathematics Assessment Project

Sidewalk Patterns

For Students 9th - 11th Standards
Sidewalk patterns ... it's definitely not foursquare! Learners investigate patterns in sidewalk blocks, write an expression to represent the pattern, and then solve problems using the expressions.
Lesson Plan
Global Oneness Project

Documenting Architectural Heritage

For Teachers 9th - 12th Standards
Imagine going from being one of the richest, most important cities in the world to one of the poorest. Imagine the history captured in the architecture of such a city. Imagine these same now abandoned buildings being destroyed. How would...
Assessment
Mathematics Assessment Project

Printing Tickets

For Students 8th - 10th Standards
That's the ticket! Pupils write and investigate two linear functions representing the cost of printing tickets. Individuals then determine which of two printing companies would be a better buy.

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